Question

give the solution of this question​

Answer 1

$\huge \bf{ \underline{ \underline{Answer}}} :- \\ (i) = \frac{49}{64} \: \: \: (ii) = \frac{49}{64} \\ \\ \red{\bold{ \underline{step - by - step \: explanation}} : - } \\ \\ (i) \: \: \bf{\frac{(1 + sin \theta)(1 - sin \theta)}{(1 + cos \theta)(1 - cos \theta)} } \\ \\ \implies \: \bf{\frac{1 - {sin}^{2} \theta }{1 - {cos}^{2} \theta } } \\ \\ \implies \: \bf{ \frac{ {cos}^{2} \theta }{ {sin}^{2} \theta}} \\ \\ \implies \: \bf{ {cot}^{2} \theta} \\ \\ \implies \: \bf{{(cot \: \theta)}^{2} } \\ \\ A.T.Q. \\ \star \bf {\: cot \theta = \frac{7}{8} } \\ \\ \therefore \: \: \bf{{cot}^{2} \theta = { \bigg(\frac{7}{8} \bigg) }^{2} = \frac{49}{64} }$